Abstract

The transition temperature of the excitonic phaseT c is calculated for various band configurations in the mean field approximation.T c depends on two quantities, the band gap (or the band overlap)2G between unstable Landau subbands andE 0 , which denotes a configuration of those subbands relative to the Fermi energy.T c takes the maximum value 0.45W B , provided that the number of electrons equals that of holes(E 0 =0) and the band overlap is2G=1.85W B (W B is the binding energy of an electron-hole pair). The region of finiteT c is shown on the(G, E 0 ) plane, which gives the excitonic phase region in a magnetic field.T c is reduced by impurity scattering and vanishes at a critical electron lifetime τ cr : ℏ/τ cr =1.1k B T c0 forE 0 =0 andG=0, whereT c0 denotesT c in the absence of impurities.

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